Study of social rank in wild chimps shows striking differences between the sexes. While males actively challenge their superiors to win higher rank, female chimpanzees don't fight for 'queen bee' status, instead waiting for more senior females to die before moving up the social ladder.

See the source article by following the link below:
Study of social rank in wild chimps shows striking differences between the sexes. While males actively challenge their superiors to win higher rank, female chimpanzees don't fight for 'queen bee' status, instead waiting for more senior females to die before moving up the social ladder.